How to convert 2008.1824 as a fraction

Question: What is 2008.1824 as a fraction?


Answer: 2008.1824 as a fraction is 22090/11


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How to convert 2008.1824 as a fraction?

Solution:2008.1824 as a fraction is 22090/11

Step 1:

The first step to converting 2008.1824 to a fraction is to re-write 2008.1824 in the form p/q where p and q are both positive integers. To start with, 2008.1824 can be written as simply 2008.1824/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 2008.1824, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2008.1824/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2008.1824/1 each by 10000:

20081824/10 / 10000/10 = 20081824 / 10000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 2008.1824 as a fraction:

22090/11 / 1

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